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Finding the Fourth Proportional to 12,403, 17,107.66 and 7,924.78

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Solution

The fourth proportional to 12,403, 17,107.66 and 7,924.78 is: 10,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403 : 17,107.66 = 7,924.78 : x
  2. Step 2: Convert to fraction form
    12,403/17,107.66 = 7,924.78/x
  3. Step 3: Cross multiply
    12,403x = 17,107.66 × 7,924.78
  4. Step 4: Simplify right side
    12,403x = 135,574,441.81
  5. Step 5: Solve for x
    x = 135,574,441.81/12,403
  6. Step 6: Final answer
    x = 10,930.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.